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Finding the Fourth Proportional to 598,862, 826,430.28 and 330,590

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Solution

The fourth proportional to 598,862, 826,430.28 and 330,590 is: 456,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,862 : 826,430.28 = 330,590 : x
  2. Step 2: Convert to fraction form
    598,862/826,430.28 = 330,590/x
  3. Step 3: Cross multiply
    598,862x = 826,430.28 × 330,590
  4. Step 4: Simplify right side
    598,862x = 273,209,586,265.20
  5. Step 5: Solve for x
    x = 273,209,586,265.20/598,862
  6. Step 6: Final answer
    x = 456,214.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.